⚠The manuscript contains numerous small interlinear characters (glosses) which are frequently faded or blurred, making precise transcription of every value difficult. The primary numeric entries are clearly legible.

Imperially Commissioned Table of the Collected Essentials of Mathematical Harmony

Page Four

original: 御製數理精蘊表. This table follows a grid format common in 18th-century Chinese mathematics. The primary numbers are the logarithmic values, while the interlinear glosses—small characters printed between the main entries—likely represent differences or "proportional parts" used to calculate values between the listed entries with greater precision.


9.0781 2613 16	9.0761 222 22	9.0741 609 149	9.0721 333 264	9.0701 643 152	9.0681 531 168	9.0661 535 5	9.0641 133 11
9.0782 2629 01	9.0762 223 22	9.0742 611 148	9.0722 335 261	9.0702 645 151	9.0682 532 167	9.0662 536 5	9.0642 134 11
9.0783 2645 281	9.0763 225 21	9.0743 881 103	9.0723 5031 221	9.0703 352 32	9.0683 534 131	9.0663 192 22	9.0643 193 21
9.0784 2661 436	9.0764 433 832	9.0744 434 199	9.0724 344 352	9.0704 366 16	9.0684 368 229	9.0664 169 56	9.0644 214 45
9.0785 235 231	9.0765 201 45	9.0745 180 24	9.0725 485 191	9.0705 644 15	9.0685 351 35	9.0665 181 55	9.0645 640 5
9.0786 3022 3	9.0766 668 131	9.0746 566 157	9.0726 303 33	9.0706 474 19	9.0686 433 155	9.0666 223 25	9.0646 486 61
9.0787 2?	9.0767 669 139	9.0747 351 27	9.0727 669 1	9.0707 144 71	9.0687 210 9	9.0667 172 23	9.0647 954 1
9.0788 5539 163	9.0768 148 61	9.0748 463 196	9.0728 824 1	9.0708 555 2	9.0688 653 109	9.0668 473 19	9.0648 235 62
9.0789 171 53	9.0769 129 7	9.0749 643 9	9.0729 353 17	9.0709 993 1	9.0689 364 22	9.0669 533 3	9.0649 451 19
9.0790 129 60	9.0770 290 290	9.0750 82 12	9.0730 453 21	9.0710 467 193	9.0690 303 30	9.0670 181 5	9.0650 333 245
9.0791 163 1	9.0771 143 9	9.0751 601 151	9.0731 993 1	9.0711 333 3	9.0691 101 88	9.0671 163 2	9.0651 419 4
9.0792 933 93	9.0772 825 29	9.0752 253 29	9.0732 851 1	9.0712 312 29	9.0692 144 29	9.0672 188 48	9.0652 524 24
9.0793 3?	9.0773 122 22	9.0753 507 19	9.0733 323 41	9.0713 613 17	9.0693 335 27	9.0673 823 21	9.0653 333 266
9.0794 833 2	9.0774 221 14	9.0754 453 2	9.0734 648 14	9.0714 663 11	9.0694 663 13	9.0674 455 2	9.0654 312 32
9.0795 603 2	9.0775 363 25	9.0755 253 32	9.0735 335 263	9.0715 181 5	9.0695 933 97	9.0675 222 21	9.0655 183 31
9.0796 813 2	9.0776 563 56	9.0756 966 36	9.0736 833 107	9.0716 453 8	9.0696 333 24	9.0676 453 2	9.0656 383 32
9.0797 833 10	9.0777 332 7	9.0757 151 47	9.0737 297 31	9.0717 824 1	9.0697 939 7	9.0677 977 2	9.0657 243 6
9.0798 235 13	9.0778 433 8	9.0758 364 3	9.0738 123 91	9.0718 135 27	9.0698 848 101	9.0678 713 11	9.0658 453 32
9.0799 10 1	9.0779 921 1	9.0759 625 3	9.0739 903 83	9.0719 109 83	9.0699 993 147	9.0679 962 1	9.0659 906 1
9.0800 200 22	9.0780 334 170	9.0760 288 40	9.0740 987 130	9.0720 126 50	9.0700 181 50	9.0680 226 40	9.0660 302 30